7. The table shows the relationship between the number of members in a group and the minutes each member speaks during the presentation. Members Minutes 2 11 3 8 4 5 5 2 Is the relationship a function that is increasing or decreasing? Is the relationship a function that is linear or nonlinear? (1 point) increasing; linear increasing; nonlinear decreasing; linear decreasing; nonlinear

Respuesta :

The given data is
Members:Β  2Β  Β 3Β  Β 4Β  Β 5
Minutes:Β  Β  11Β  Β 8Β  Β 5Β  Β 2

A graph of the data is shown below.
It indicates that
(a) A linear relationship exists
(b) The function (minutes) decreases as the number of members increases.

Answer:
The function is linear decreasing.


Ver imagen Аноним

The information regarding Β the number of members in a group and the minutes each member speaks during the presentation.

Members Β  2 Β  Β 3 Β  Β 4 Β  5 Β ------------(Considering as x coordinate)

Minutes Β  Β  Β 11 Β  Β 8 Β  Β  5 Β  2 -------------(Considering as y coordinate)

Slope between ordered pair

As slope(m) between two points [tex](x_{1},y_{1}),and (x_{2},y_{2})[/tex] Β is given by the formula Β , m= [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

=[tex]\frac{8-11}{3-2}=\frac{5-8}{4-3}=\frac{2-5}{5-4}=\frac{11-2}{2-5}= -3[/tex]

As slope between any two ordered pair is same, showing that it is a linear relationship.

As you can see x coordinate increases y coordinates,that is minutes each member speaks decreases. So, this relationship is linear decreasing.

Ver imagen Аноним